Q18 Given s = 3a²c-2bc + 5abc² (a) (b) da dc || ||

Q: (a) Find the derivative. y = In(4x - dy dx (b) Find the derivative. y = ln ( 4x = dy dx 6) - 3 In(x)…

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Q: 15 sin ¹√2x dx = [

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Q: Given ƒ"(x) = 6x – 5 - and ƒ'(−2) = −1 and ƒ(−2) = 2. Find f'(x) = and find f(2)=

A: We need to find out the value of f'(x) and f(2) for which the second derivative is given.

Q: Find an equation of the tangent line to the curve at the point (1, 1). In(xex6) y = y =

A: The given equation is;  y=ln(xex^6).

Q: In (1 + x²) x-0 1 COS X 37. lim - x² - 4 x→2 ln (x - 1) 38. lim

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Q: 3 Functions fand g are defined by f(x)= XER and |x| |x|+3x 2 g(x)= respectively. (a) Express…

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Q: Find the area enclosed by one leaf of the rose r= 10 cos (30)

A: area enclosed by one leaf of the rose r = 10 cos (3thita)   Formula :- cos2(x) = [1+cos(2x)]/2

Q: z is incorrect

A: We have to find the value of z (Round to 4 decimal)

Q: Find the slope at x = 3 on the graph of 2y - 4x = 9. (a) -4 (b) 2 (c) 10.5 (d) 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the area bounded by the curvey = x² + x +4, the x-axis, from x = 1 to x = 3. 16 14 12 10…

A: To find the area bounded by given curves.

Q: mine the average rate of change of f(x) = x³. - x over the interval 1 ≤x≤ 3.

A: We will find the required.

Q: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

A: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

Q: Let f(x) = -12x sin(x) cos(x). f'(x) at x = ³7. 2 Evaluate ƒ'( ³ ) =

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Q: Suppose a product's profit function is given by π(q) 3q² + 800q, where (q) is in dollars and q is…

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Q: Find the arc length of the curve y = ln x - ² on the interval [1, 3].

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Q: Sketch-the-graphs.y = x² + 1, y = -x² + 2x + 51

A: we need to sketch the graphs of the function.

Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

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Q: Let f(x) = −9+ 6x-x³. Find the open intervals on which f is increasing (decreasing). Then determine…

A: The function is given by fx = -9+6x-x3 To determine: The interval of increase or decrease and the…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: P=140x-x2600-2300given x=100  increasing rate of 6 units per day d dx(xn)=nxn-1d dx(constant)=0

Q: - Find the inflection points of f(x) = 2x¹ + 10r³ — 18r² + 7. (Give your answers as a comma…

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Q: Arriving at the eighth and penultimate gate, you immediately get to work. "Computer, translate this…

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Q: Evaluate the triple integral. JJL. TV₂ where G is the solid in the first octant that is bounded by…

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Q: Determine whether Rolles theorem can be applied to the function. f(x)=(x-5)(x-6)(x-7) on the closed…

A: we have to slove above question f(x)=(x-5)(x-6)(x-7) on the closed interval [5,7]. find all numbers…

Q: -S X √196+x -dx =

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

A: We need to change the integral into polar integral ∫0ln6∫0ln62-y2ex2+y2dxdy

Q: let y = 5 log (x+1) find y'

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Q: Consider the function f(x) = 4 2 x² x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

A: Topic = Integration

Q: Consider the function f(x)= x4-98x² + 11, and an absolute maximum value equal to -6<x< 15. This…

A: Given: fx=x4-98x2+11, -6≤x≤15   Use the Power Rule: ddxxn=nxn-1

Q: 43 x

A: given diagram of polar region

Q: 5. If 3x²z+y³-xyz³ = 0, find az / əx. 6. Show that if w=f(r-s,s-t,t-r), then dw dw dw dr + + = ds ôt…

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Q: You are planning to make an open rectangular box from a 38-in.-by-75-in. piece of cardboard by…

A: This question is based on application of derivative. First take a square of length x then make a box…

Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

A: We find the first and second derivatives using the power rule F(t)=3t5-20t3+20F'(t)=ddt3t5-20t3+20…

Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

A: Given  x + y = 160

Q: -4 +00 24 y 2 -20 -2 4 2 4 ४ c. 1

A: we will find the required.

Q: Consider the ellipse 25x² + 64y² = 1600. Consider the point P(16,5). Find an equation for both lines…

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Q: Find the derivatives of the following functions. sec5 (x) 1- x-7 (a) g(x) g'(x) = (b)x= dx dt = = 1…

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Q: 16 cos 6nt dt = [

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Q: Consider the following vector function. Find each of the following. r'(t) = = r'(0) r(t) = cos(t) i…

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Q: Some value of f(x) and f'(x) are given in the table. If no value is given, then you should assume…

A: Given Table:- x 4 5 6 f(x)   -3   f'(x) 1 ϕ 1

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: For the following demand function, to find  (a) E, and (b) values of q (if any) at which total…

Q: 30. Given g(x) = 4x² + 1, use the difference quotient to find the instantaneous rate of change when…

A: Given function:- gx=4x2+1

Q: 2 √x (x + 1)² dx =

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Q: Determine the PDE of all surfaces cutting the family of cones given by x²+y²-a²z²=0

A: The family of cones given by the equation:   x^2 + y^2 - a^2*z^2 = 0

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: 400 gallons of pesticide is accidentally spilled into a lake and uniformly mixes with the water. The…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of pesticide at time t…

Q: (b) x dx dt 1 sin³ (15)

A: Given  x = 1sin8( t5 )

Q: Solve Ч 3ху= 4'=45х +уз

A: Given differential equation:- 3xy2y'=45x4+y3

Q: The weight of a fish varies jointly as its girth and the square of its length. One fish weighed in…

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Q: Q16 A helicopter is rising straight up in the air. The distance from the ground t seconds after…

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